The elastic region of the stress-strain curve follows a particular law.
The CBSE 2024-2025 syllabus includes Chapter 8 “Mechanical Properties of Solids” from the Class 11 NCERT Physics textbook. It focuses on key concepts such as stress, strain, elasticity, Young’s modulus, bulk modulus, shear modulus and Poisson’s ratio. Multiple-choice questions help assess understanding of principles like Hooke’s Law and stress-strain relationships. This chapter explains how solids behave under force and offers practical insights into their mechanical properties essential for academic learning and real-world applications.
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In the elastic region, the relationship between stress and strain is governed by Hooke’s Law. This law states that the stress (σ) applied to a material is directly proportional to the strain (ε) it experiences, provided the material remains within its elastic limit. Mathematically, this can be expressed as:
σ = Eε
Where:
– σ (stress) is the force per unit area applied to the material, measured in pascals (Pa) or other equivalent units.
– ε (strain) is the relative deformation or change in shape/size of the material, which is dimensionless.
– E (Young’s modulus) is a material constant that quantifies the stiffness of the material, measured in pascals (Pa).
Key points about this relationship in the elastic region:
1. **Linearity**: Stress and strain exhibit a linear relationship in the elastic region, which means doubling the stress will double the strain.
2. **Reversibility**: Deformations in this region are reversible. When the applied stress is removed, the material returns to its original shape and size.
3. **Elastic Limit**: The linear relationship holds only up to the elastic limit. Beyond this point, the material may deform plastically and not return to its original state.
This relationship is fundamental in engineering and materials science for designing structures and components, ensuring they operate within the elastic range to avoid permanent deformation.
This question related to Chapter 8 physics Class 11th NCERT. From the Chapter 8. Mechanical Properties of Solids. Give answer according to your understanding.
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